Since the areas are the same (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12. (1/2 of 5 x 12 is also 30)
So now we use the Pythagorean theorem
a² + b² = c² we have 5² + 12² = c² or 25 + 144 = c² or 169 = c²
The square root of 169 is 13 so side DE is 13 units.
Answer:
Step-by-step explanation:
Answer:
24 units
Step-by-step explanation:
Perimeter of Polygon PQRSTU = sum of all its side lengths = PQ + QR + RS + ST + TU + PU
PQ = |-4 -(-2)| = 2 units
QR = |4 - 2| = 2 units
RS = |-2 - 2| = 4 units
ST = |2 -(-2)| = 4 units
TU = |2 -(-4)| = 6 units
PU = |4 - (-2)| = 6 units
Perimeter of Polygon PQRSTU = 2 + 2 + 4 + 4 + 6 + 6 = 24 units
Reflected across the x-axis, the function becomes
... g(x) = -f(x) = -20 +4x
This models the situation in which the car is driving in reverse, is accelerating (velocity is becoming less negative), and comes to a stop in 5 seconds.
Of the choices offered, the best seems to be ...
... b. the car immediately begins to accelerate at the same rate it had previously decelerated.
Second line on the right side of the equation it should be 2x(-13)
so then 8x - 24 + 7 = -26x
8x - 17 = -26x
then in hers she added the 8 to 26 when she should have subtracted it
it should be -17 = -34x
so 17 = 34x
1/2 = x
